Online GCD Calculator is useful to find the GCD of 695, 880, 760, 675 quickly. Get the easiest ways to solve the greatest common divisor of 695, 880, 760, 675 i.e 5 in different methods as follows.
Given Input numbers are 695, 880, 760, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (695, 880, 760, 675) = 5.
Given numbers are 695, 880, 760, 675
The list of prime factors of all numbers are
Prime factors of 695 are 5 x 139
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 695, 880, 760, 675 is 5.
Given numbers are 695, 880, 760, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(695, 880) = 122320
GCD(695, 880) = ( 695 x 880 ) / 122320
= 695 / 880
= 695
Step2:
LCM(5, 760) = 760
GCD(5, 760) = ( 5 x 760 ) / 760
= 5 / 760
= 5
Step3:
LCM(5, 675) = 675
GCD(5, 675) = ( 5 x 675 ) / 675
= 5 / 675
= 5
So, Greatest Common Divisor of 695, 880, 760, 675 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 695, 880, 760, 675
The greatest common divisor of numbers 695, 880, 760, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 880, 760, 675 is 5.
1. What is the GCD of 695, 880, 760, 675?
GCD of given numbers 695, 880, 760, 675 is 5
2. How to calculate the greatest common divisor of 695, 880, 760, 675?
We can find the highest common divisor of 695, 880, 760, 675 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 695, 880, 760, 675 i.e 5.
3. How can I use the GCD of 695, 880, 760, 675Calculator?
Out the numbers 695, 880, 760, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.